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Finding the Fourth Proportional to 82,132.80, 123,004.80 and 55,694.40

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Solution

The fourth proportional to 82,132.80, 123,004.80 and 55,694.40 is: 83,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,132.80 : 123,004.80 = 55,694.40 : x
  2. Step 2: Convert to fraction form
    82,132.80/123,004.80 = 55,694.40/x
  3. Step 3: Cross multiply
    82,132.80x = 123,004.80 × 55,694.40
  4. Step 4: Simplify right side
    82,132.80x = 6,850,678,533.12
  5. Step 5: Solve for x
    x = 6,850,678,533.12/82,132.80
  6. Step 6: Final answer
    x = 83,409.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.